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Vertex: (−5, 2) Axis of Sym.: x = −5. Vertex: (−2, −1) Axis of Sym.: x = −2. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
Graph Standard and Vertex Form of Quadratics. Date________________ Period____. Calculate the vertex (show work for the problems that are in Standard Form #1-5) Record the vertex in the blank provided. Make sure to write it as an ordered pair. For example (2,-3)
The Vertex Form of a quadratic equation is where represents the vertex of an equation and is the same a value used in the Standard Form equation. Converting from Standard Form to Vertex Form: Determine the vertex of your original
Practice writing quadratic equations in standard form and identifying a, b and c. Remember, standard form is y ax bx c = + + 2 . Sample #1 : y x x = − + −2 8 2 Sample #2 : y x = − +25 2
F.IF.C.8.VertexFormofaQuadratic. Compare the quantity in Column A with the quantity in Column B. ( x ) 2 ( x 3 ) 2 5 Column A maximum value of f ( x ) Column B. ( 3) [A] The quantity in Column A is greater. [B] The quantity in Column B is greater. [C] The two quantities are equal.
QUADRATIC EQUATIONS IN VERTEX FORM. Any quadratic equation can be expressed in the form y = a(x-h)2+k. This is . called the vertex form of a quadratic equation. The graph of a quadratic equation forms a . parabola. The width, direction, and vertex of the parabola can all be found from this . equation.
Graphing Quadratic Functions in Standard Form. Graph y x 2 4 x 5. Use . Substitute 1 for a and ‐4 for b. The x‐coordinate of the vertex is 2. Substitute 2 for x. The y‐coordinate is ‐9. So the point is (2, ‐ 9) Identify c in the equation y a 2 bx ( c ) So the point is (0, ‐ 5)
